Non-abelian representations of some sporadic geometries

DOI10.1006/jabr.1996.0132zbMath0853.51008OpenAlexW2127791847WikidataQ56872290 ScholiaQ56872290MaRDI QIDQ1913966

Alexander A. Ivanov, Sergey V. Shpectorov, Dimitrii V. Pasechnik

Publication date: 9 July 1996

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.1996.0132

zbMATH Keywords

Mathieu groupmonstersporadic groupbaby monsteruniversal representation groupConvay group

Mathematics Subject Classification ID

Simple groups: sporadic groups (20D08) Buildings and the geometry of diagrams (51E24) Representations of sporadic groups (20C34)

Related Items (11)

Existence of non-abelian representations of the near hexagon \(Q(5,2)\otimes Q(5,2)\) ⋮ The universal nonabelian representation of the Petersen type geometry related to \(J_ 4\) ⋮ A characterization of finite symplectic polar spaces of odd prime order ⋮ Shrinkings, structures at infinity and affine expansions, with an application to c-extended \(P\)- and \(T\)-geometries ⋮ The flag-transitive tilde and Petersen-type geometries are all known ⋮ Non-Abelian representations of the slim dense near hexagons on 81 and 243 points ⋮ The Leech lattice Λ and the Conway group ⋅𝑂 revisited ⋮ \(c\)-extensions of \(P\)- and \(T\)-geometries ⋮ Polarized non-abelian representations of slim near-polar spaces ⋮ On the order of a non-abelian representation group of a slim dense near hexagon ⋮ \(Y\)-groups via transitive extension

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